3 papers
math.DG2025
On minimizing surfaces of the CR invariant energy
Jih-Hsin Cheng, Hung-Lin Chiu, Paul Yang +1
We study a CR-invariant equation for vanishing surfaces in the 3-dimensional Heisenberg group. This is shown to be a hyperbolic equation. We prove the local uniqueness theore…
math.DG2025
The Classification of Rotationally symmetric hypersurfaces in the Heisenberg groups
Hung-Lin Chiu, Sin-Hua Lai, Hsiao-Fan Liu
In this paper, we show the fundamental theorems for rotationally symmetric hypersurfaces, and thus, together with the earlier results in [3] and [4], provide a complete classificat…
math.DG2025
On Invariants of Constant -Mean Curvature Surfaces in the Heisenberg Group
Hung-Lin Chiu, Sin-Hua Lai, Hsiao-Fan Liu
One primary objective in submanifold geometry is to discover fascinating and significant classical examples of . In this paper which relies on the theory we established in [Ad…